File:NLC416-13jh002410-46881 幾何學——軌跡及作圖.pdf

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幾何學——軌跡及作圖   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
〔日〕柳原吉次著
image of artwork listed in title parameter on this page
Title
幾何學——軌跡及作圖
Publisher
商務印書館[發行者]
Description

目錄
第一章 軌跡
點之軌跡之定義
軌跡之證明
軌跡問題之例解
探考軌跡之圖形之法
軌跡之極限點
關於極限點之規約
與二定點成等距離之軌跡
與定直線l之距離恆為d之點之軌跡
與二定直線成等距離之點之軌跡
直線之兩端在二平行線上求直線之中點之軌跡
知三角形之頂角與底邊求項點之軌跡
從定點引直線至定圓求直線之中點之軌跡
三角形之a點固定b點在定直線上求c點之軌跡
三角形之a點固定b點在定圓周上求c點之軌跡
問題集i
與二直線之距離成定比之點之軌跡
直線過定點及二平行線依定比分平行線問之直線之點之軌跡
從定點引直線至定圓依定比分比直線求分點之軌跡
與二定點之距離成定比之點之軌跡
△pab，△pcd之底邊固定面積之和一定求頂點p之軌跡
問題集ii
立體幾何學之軌跡
線之軌跡
極限線
截口之平面依一定之軸之周運動
問題集iii
截口之平面平行運動
問題集iv
求軌跡相交之方法
問題集v
餘論
第二章 作圖
平面幾何學作圖之規約
條件之數，條件之關係
作圖題位置
解之數
形式的解法，作圖題之研究
二個圓及一個圓與一直線之關係
作定直線之垂直二等分線
從定點引直線至定直線上等於一定之距r
定角之二等分線
從定點引垂線至定直線上
作通過定點與定直線平等之直線
從定直線之一端引直線令所成之角等於定角
從定點引直線切於定圓
問題集vi
作二定圓之公切線
作第一章第18節之軌跡圖
作正方形等於所設之矩形
作與所設之矩形等積之矩形
作正方形等於兩正方形之積之和與差
定直線依定比內分及外分
求二直線之比例中項
求所設三直線之第四比例項
作圖通過二定點且切於定直線上
作圖通過二定點且切於圓周上
解析之法則
解析法之分類
軌跡交切法
問題集vii
關於省條件而得之軌跡
求圓錐曲線與直線之交點
分解法
問題集viii
模形法
問題集ix
利用一定長之弦之法
問題集x
平行移動
問題集xi
對稱法
問題xii
面積之變形與分割問題
問題xiii
代數之解析法
二次方程式之圖解
問題集xiv
畫切圓之作圖題
問題集xv
分角與圓周之問題
問題集xvi
切於定圓之直線之應用
問題集xvii
反形法及試驗法
關於通過二定點之圓與定圓相交之作圖
問題集xviii
立體幾何學作圖
問題集xix
求定直線與定平面之交點
求二平面相交之直線
求球面與直線之交點
求球面與平面相交之圓
求二球相交之圓
關於圓錐面及圓柱面之作圖
由軌跡交切法之解法
問題集xx
解法用平面之截口之法
問題集xxi
雜題
附錄
用一定開角之圓規與直線尺解初等幾何學之作圖題
單用自由開閉之圓規作圖之基本問題
問題解法指南

Language Chinese
Publication date 民國二十三年[1934]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
館藏信息
InfoField
MG/O123/15
主題
InfoField
初等幾何 軌道-初等幾何 初等幾何
中圖分類
InfoField
O123
載體形態
InfoField
224頁

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